Mathematical Modelling
Test 1 2019 - Solutions
, University of the Witwatersrand
APPM1006/A: Mathematical Modelling - Test 1
Instructions
• There are 40 marks available. 40 marks = 100%.
• Answer all the questions and show all necessary working. It is in the interest of the
candidate to write legibly and argue carefully.
• Ensure that your calculator is in RADIAN mode before starting.
• Unless otherwise specified, accuracy to at least 6 decimal digits should be maintained
in all computations. Give your FINAL answer to 2 decimal digits.
• For the Multiple Choice Questions, there is only ONE correct answer.
• Please fill in your answers on the MCQ card provided.
Time: 60 minutes
Date: 12th September 2019
Marks: 40
Question 1 - Multiple Choice Questions (10 Marks)
[1.1] Given y 0 ° y 2 = 0 where y = y(x). The general solution of this differential equation is
given by [2]
y3 1 1
(A) = x +c (B) = x +c (C) ln y 2 = ce x (D) y =
3 y °(x + c)
1
Test 1 2019 - Solutions
, University of the Witwatersrand
APPM1006/A: Mathematical Modelling - Test 1
Instructions
• There are 40 marks available. 40 marks = 100%.
• Answer all the questions and show all necessary working. It is in the interest of the
candidate to write legibly and argue carefully.
• Ensure that your calculator is in RADIAN mode before starting.
• Unless otherwise specified, accuracy to at least 6 decimal digits should be maintained
in all computations. Give your FINAL answer to 2 decimal digits.
• For the Multiple Choice Questions, there is only ONE correct answer.
• Please fill in your answers on the MCQ card provided.
Time: 60 minutes
Date: 12th September 2019
Marks: 40
Question 1 - Multiple Choice Questions (10 Marks)
[1.1] Given y 0 ° y 2 = 0 where y = y(x). The general solution of this differential equation is
given by [2]
y3 1 1
(A) = x +c (B) = x +c (C) ln y 2 = ce x (D) y =
3 y °(x + c)
1
